Symplectic Manifolds with no Kähler Structure
This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated d...
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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| Edice: | Lecture notes in mathematics
1661 |
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| Edition sous un autre format: | • Symplectic manifolds with no Kähler structure, Aleksy Tralle, John Oprea, Berlin, Springer, 1997, 1 vol. (VIII-207 p.), Lecture notes in mathematics, 3-540-63105-4 • Symplectic Manifolds with no Kaehler structure, Texte imprimé, 9783662194874 |
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| 100 | 1 | |a Tralle, Aleksy, |d 1958- | |
| 245 | 1 | 0 | |a Symplectic Manifolds with no Kähler Structure |c Aleksy Tralle, John Oprea. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1661 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a The starting point: Homotopy properties of kähler manifolds -- Nilmanifolds -- Solvmanifolds -- The examples of McDuff -- Symplectic structures in total spaces of bundles -- Survey. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level. | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Mathématiques | ||
| 650 | |a Variétés symplectiques | ||
| 650 | |a Espaces homogènes | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Homotopie | ||
| 700 | 1 | |a Oprea, John, |d 1953- |4 aut | |
| 776 | 0 | |0 030149223 |t Symplectic manifolds with no Kähler structure |f Aleksy Tralle, John Oprea |c Berlin |n Springer |d 1997 |p 1 vol. (VIII-207 p.) |s Lecture notes in mathematics |z 3-540-63105-4 | |
| 776 | 0 | |t Symplectic Manifolds with no Kaehler structure |b Texte imprimé |z 9783662194874 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0092608 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9HG21T2K-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750652586 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0092608 |z Accès Université d'Orléans | |
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| 997 | |0 971436 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||